Models of hierarchically constrained dynamics for glassy relaxation

R. G. Palmer; D. L. Stein; E. Abrahams; P. W. Anderson

doi:10.1103/PhysRevLett.53.958

Models of hierarchically constrained dynamics for glassy relaxation

R. G. Palmer, D. L. Stein, E. Abrahams, P. W. Anderson

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Abstract

A class of models for relaxation in strongly interacting glassy materials is suggested. Degrees of freedom are divided into a sequence of levels such that those in level n+1 are locked except when some of those in level n find the right combination to release them, this representing the hierarchy of constraints in real systems. The Kohlrausch anomalous relaxation law, exp[-(t)²], emerges naturally, and a maximum time scale is found which exhibits a Vogel-Fulcher-type temperature dependence.

Original language	English (US)
Pages (from-to)	958-961
Number of pages	4
Journal	Physical Review Letters
Volume	53
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevLett.53.958
State	Published - 1984

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.53.958

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Models of hierarchically constrained dynamics for glassy relaxation

Abstract

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